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Il y a 6 cas possibles : le complment 5 de 0 est 5 car 0 + 5 = 5 le complment 5 de 1 est 4 car 1 + 4 = 5 le complment 5 de 2 est 3 car 2 + 3 = 5 le complment 5 de 3 est 2 car 3 + 2 = 5 le complment 5 de 4 est 1 car 4 + 1 = 5 le complment 5 de 5 est 0 car 5 + 0 = 5 Connatre les complments cinq t aidera beaucoup pour les calculs. DIFFRENCE PAR RAPPORT 5 CA05 La diffrence par rapport cinq d un nombre est le nombre qui reste quand on a enlev 5. Il y a 6 cas possibles : la diffrence par rapport 5 de 5 est 0 car 5 - 5 = 0 la diffrence par rapport 5 de 6 est 1 car 6 - 5 = 1 la diffrence par rapport 5 de 7 est 2 car 7 - 5 = 2 la diffrence par rapport 5 de 8 est 3 car 8 - 5 = 3 la diffrence par rapport 5 de 9 est 4 car 9 - 5 = 4 la diffrence par rapport 5 de 10 est 5 car 10 - 5 = 5 Connatre les diffrences par rapport cinq t aidera beaucoup pour les calculs. Nombre Complment 10 Nombre Complment 10 0 10 6 4 1 9 7 3 2 8 8 2 3 7 9 1 4 6 10 0 TABLEAU DES COMPLMENTS 10 5 5 Connatre les complments dix t aidera beaucoup pour les calculs. COMPLMENT 10 CA06 Le complment dix d un nombre est le nombre qu il faut lui ajouter pour obtenir 10. MULTIPLIER PAR 10, 100 OU 1 000 CA07 Pour multiplier un nombre par 10, on crit un zro la droite de ce nombre. Exemple : 14 x 10 = 140 / 25 x 10 = 250 Pour multiplier un nombre par 100, on crit deux zros la droite de ce nombre. Exemple : 14 x 100 = 1 400 / 25 x 100 = 2 500 Pour multiplier un nombre par 1 000, on crit trois zros la droite de ce nombre. Exemple : 14 x 1 000 = 14 000 / 25 x 1 000 = 25 000 ADDITIONNER OU SOUSTRAIRE DEUX MULTIPLES DE 10 CA08 Pour additionner ou soustraire deux multiples de 10, il suffit d additionner ou de soustraire le nombre de dizaines des deux nombres en question et d ajouter un zro au rsultat. Exemple : 80 + 50 8 dizaines + 5 dizaines = 13 dizaines 80 + 50 = 130 Exemple : 60 + 110 6 dizaines + 11 dizaines = 17 dizaines 60 + 110 = 170 Exemple : 90 - 30 9 dizaines - 3 dizaines = 6 dizaines 90 - 30 = 60 Exemple : 180 - 110 18 dizaines - 11 dizaines = 7 dizaines 180 - 110 = 70 AJOUTER OU SOUSTRAIRE 10 CA09 Pour ajouter ou soustraire de 10, il suffit d ajouter ou d enlever une dizaine. Le chiffre des units ne change pas. Exemple : 65 soit 6 dizaines et 5 units 6 dizaines + 1 dizaine = 7 dizaines 65 + 10 = 75 Exemple : 192 soit 19 dizaines et 2 units 19 dizaines + 1 dizaine = 20 dizaines 192 + 10 = 202 Exemple : 52 soit 5 dizaines et 2 units 5 dizaines - 1 dizaine = 4 dizaines 52 - 10 = 42 Exemple : 207 soit 20 dizaines et 7 units 20 dizaines - 1 dizaine = 19 dizaines 207 - 10 = 197 AJOUTER OU SOUSTRAIRE 100 CA10 Pour ajouter ou soustraire de 100, il suffit d ajouter ou d enlever une centaine. Le chiffre des units et le chiffre des dizaines ne changent pas. Exemple : 542 soit 5 centaines, 4 dizaines et 2 units 5 centaines + 1 centaine = 6 centaines 542 + 100 = 642 Exemple : 973 soit 9 centaines, 7 dizaines et 3 units 9 centaines + 1 centaine = 10 centaines 972 + 100 = 1073 Exemple : 354 soit 3 centaines, 5 dizaines et 4 units 3 centaines - 1 centaine = 2 centaines 354 - 100 = 254 Exemple : 126 soit 1 centaine, 2 dizaines et 6 units 1 centaine - 1 centaine = 0 centaine 126 - 100 = 26 (On n crit pas 026.) x 0 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 10 2 0 2 4 6 8 10 12 14 16 18 20 3 0 3 6 9 12 15 18 21 24 27 30 4 0 4 8 12 16 20 24 28 32 36 40 5 0 5 10 15 20 25 30 35 40 45 50 6 0 6 12 18 24 30 36 42 48 54 60 7 0 7 14 21 28 35 42 49 56 63 70 8 0 8 16 24 32 40 48 56 64 72 80 9 0 9 18 27 36 45 54 63 72 81 90 10 0 10 20 30 40 50 60 70 80 90 100 TABLES DE MULTIPLICATION CA11 AJOUTER 9 UN NOMBRE CA12 Pour ajouter 9 un nombre, on peut ajouter une dizaine et enlever une unit. Exemple : 125 soit 12 dizaines et 5 units 12 dizaines + 1 dizaine = 13 dizaines 5 units - 1 unit = 4 units 125 + 9 = 134 Exemple : 698 soit 69 dizaines et 8 units 69 dizaines + 1 dizaine = 70 dizaines 8 units - 1 unit = 7 units 698 + 9 = 707 Attention toutefois de ne pas compliquer les cas simples ! 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"""" """""2 "| "R " ";"zK""" " "   """" """""2 " "R " "B""zK""" " "   """" """""S " "r " "B""zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r "L ";"zK""" " "   """" """""S "M "r "~ ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r "I ";"zK""" " "   """" """""S "J "r "{ ";"zK""" " "   """" """""S "| "r " ";"zK""" " "   """" """""S " "r " "B""zK""" " "   """" """""s " " " "B""zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " "L ";"zK""" " "   """" """""s "M " "~ ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " "I ";"zK""" " "   """" """""s "J " "{ ";"zK""" " "   """" """""s "| " " ";"zK""" " "   """" """""s " " " "B""zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "L ";"zK""" " "   """" """"" "M " "~ ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "I ";"zK""" " "   """" """"" "J " "{ ";"zK""" " "   """" """"" "| " " ";"zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "L ";"zK""" " "   """" """"" "M " "~ ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "I ";"zK""" " "   """" """"" "J " "{ ";"zK""" " "   """" """"" "| " " ";"zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "L ";"zK""" " "   """" """"" "M " "~ ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "I ";"zK""" " "   """" """"" "J " "{ ";"zK""" " "   """" """"" "| " " ";"zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "L ";"zK""" " "   """" """"" "M " "~ ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " " ";"zK""" " "   """" """"" " " "I ";"zK""" " "   """" """"" "J " "{ ";"zK""" " "   """" """"" "| " " ";"zK""" " "   """" """"" " " " "B""zK""" " "   """" """"" " "6 " "B""zK""" " "   """" """"" " "6 " ";"zK""" " "   """" """"" " "6 " ";"zK""" " "   """" """"" " "6 "L ";"zK""" " "   """" """"" "M "6 "~ ";"zK""" " "   """" """"" " "6 " ";"zK""" " "   """" """"" " "6 " ";"zK""" " "   """" """"" " "6 " ";"zK""" " "   """" """"" " "6 "I ";"zK""" " "   """" """"" "J "6 "{ ";"zK""" " "   """" """"" "| "6 " ";"zK""" " "   """" """"" " "6 " "B""zK""" " "   """" """""7 " "V " "B""zK""" " "   """" """""7 " "V " ";"zK""" " "   """" """""7 " "V " ";"zK""" " "   """" """""7 " "V "L ";"zK""" " "   """" """""7 "M "V "~ ";"zK""" " "   """" """""7 " "V " ";"zK""" " "   """" """""7 " "V " ";"zK""" " "   """" """""7 " "V " ";"zK""" " "   """" """""7 " "V "I ";"zK""" " "   """" """""7 "J "V "{ ";"zK""" " "   """" """""7 "| "V " ";"zK""" " "   """" """""7 " "V " "B""zK""" " "   """" """""W " "w " "B""zK""" " "   """" """""W " "w " ";"zK""" " "   """" """""W " "w " ";"zK""" " "   """" """""W " "w "L ";"zK""" " "   """" """""W "M "w "~ ";"zK""" " "   """" """""W " "w " ";"zK""" " "   """" """""W " "w " ";"zK""" " "   """" """""W " "w " ";"zK""" " "   """" """""W " "w "I ";"zK""" " "   """" """""W "J "w "{ ";"zK""" " "   """" """""W "| "w " ";"zK""" " "   """" """""W " "w " "B""zK""" " "   """" """""x " " " "B""2""" " "   """" """""x " " " ";"2""" " "   """" """""x " " " ";"2""" " "   """" """""x " " "L ";"2""" " "   """" """""x "M " "~ ";"2""" " "   """" """""x " " " ";"2""" " "   """" """""x " " " ";"2""" " "   """" """""x " " " ";"2""" " "   """" """""x " " "I ";"2""" " "   """" """""x "J " "{ ";"2""" " "   """" """""x "| " " ";"2""" " "   """" """""x " " " "B""2""" " "   """" """" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " "4 " "S"x""" " "   """" """"" " "4 " ";"܃""" " "   """" """"" " "4 " ";"܃""" " "   """" """"" " "4 "L ";"܃""" " "   """" """"" "M "4 "~ ";"܃""" " "   """" """"" " "4 " ";"܃""" " "   """" """"" " "4 " ";"܃""" " "   """" """"" " "4 " ";"܃""" " "   """" """"" " "4 "I ";"܃""" " "   """" """"" "J "4 "{ ";"܃""" " "   """" """"" "| "4 " ";"܃""" " "   """" """"" " "4 " "B""܃""" " "   """" """""5 " "X " "B""""" " "   """" """""5 " "X " ";"""" " "   """" """""5 " "X " ";"""" " "   """" """""5 " "X "L ";"""" " "   """" """""5 "M "X "~ ";"""" " "   """" """""5 " "X " ";"""" " "   """" """""5 " "X " ";"""" " "   """" """""5 " "X " ";"""" " "   """" """""5 " "X "I ";"""" " "   """" """""5 "J "X "{ ";"""" " "   """" """""5 "| "X " ";"""" " "   """" """""5 " "X " "B""""" " "   """" """""Y " "{ " "B""""" " "   """" """""Y " "{ " ";"""" " "   """" """""Y " "{ " ";"""" " "   """" """""Y " "{ "L ";"""" " "   """" """""Y "M "{ "~ ";"""" " "   """" """""Y " "{ " ";"""" " "   """" """""Y " "{ " ";"""" " "   """" """""Y " "{ " ";"""" " "   """" """""Y " "{ "I ";"""" " "   """" """""Y "J "{ "{ ";"""" " "   """" """""Y "| "{ " ";"""" " "   """" """""Y " "{ " "B""""" " "   """" """""| " " " "B""""" " "   """" """""| " " " ";"""" " "   """" """""| " " " ";"""" " "   """" """""| " " "L ";"""" " "   """" """""| "M " "~ ";"""" " "   """" """""| " " " ";"""" " "   """" """""| " " " ";"""" " "   """" """""| " " " ";"""" " "   """" """""| " " "I ";"""" " "   """" """""| "J " "{ ";"""" " "   """" """""| "| " " ";"""" " "   """" """""| " " " "B""""" " "   """" """"" " " " "B""""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " "L ";"""" " "   """" """"" "M " "~ ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " "I ";"""" " "   """" """"" "J " "{ ";"""" " "   """" """"" "| " " ";"""" " "   """" """"" " " " "B""""" " "   """" """"" " " " "B""""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " "L ";"""" " "   """" """"" "M " "~ ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " "I ";"""" " "   """" """"" "J " "{ ";"""" " "   """" """"" "| " " ";"""" " "   """" """"" " " " "B""""" " "   """" """"" " " " "B""""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " "L ";"""" " "   """" """"" "M " "~ ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " " ";"""" " "   """" """"" " " "I ";"""" " "   """" """"" "J " "{ ";"""" " "   """" """"" "| " " ";"""" " "   """" """"" " " " "B""""" " "   """" """"" " "- " "B""""" " "   """" """"" " "- " ";"""" " "   """" """"" " "- " ";"""" " "   """" """"" " "- "L ";"""" " "   """" """"" "M "- "~ ";"""" " "   """" """"" " "- " ";"""" " "   """" """"" " "- " ";"""" " "   """" """"" " "- " ";"""" " "   """" """"" " "- "I ";"""" " "   """" """"" "J "- "{ ";"""" " "   """" """"" "| "- " ";"""" " "   """" """"" " "- " "B""""" " "   """" """"". " "P " "B""""" " "   """" """"". " "P " ";"""" " "   """" """"". " "P " ";"""" " "   """" """"". " "P "L ";"""" " "   """" """"". "M "P "~ ";"""" " "   """" """"". " "P " ";"""" " "   """" """"". " "P " ";"""" " "   """" """"". " "P " ";"""" " "   """" """"". " "P "I ";"""" " "   """" """"". "J "P "{ ";"""" " "   """" """"". "| "P " ";"""" " "   """" """"". " "P " "B""""" " "   """" """""Q " "t " "B""""" " "   """" """""Q " "t " ";"""" " "   """" """""Q " "t " ";"""" " "   """" """""Q " "t "L ";"""" " "   """" """""Q "M "t "~ ";"""" " "   """" """""Q " "t " ";"""" " "   """" """""Q " "t " ";"""" " "   """" """""Q " "t " ";"""" " "   """" """""Q " "t "I ";"""" " "   """" """""Q "J "t "{ ";"""" " "   """" """""Q "| "t " ";"""" " "   """" """""Q " "t " "B""""" " "   """" """""u " " " "B""݃""" " "   """" """""u " " " ";"݃""" " "   """" """""u " " " ";"݃""" " "   """" """""u " " "L ";"݃""" " "   """" """""u "M " "~ ";"݃""" " "   """" """""u " " " ";"݃""" " "   """" """""u " " " ";"݃""" " "   """" """""u " " " ";"݃""" " "   """" """""u " " "I ";"݃""" " "   """" """""u "J " "{ ";"݃""" " "   """" """""u "| " " ";"݃""" " "   """" """""u " " " "B""݃""" " "   """" """" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " " " "A"8B+""" " "   """""""" "" " " "e "3"""" " "  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"""""""" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " "H " "A"A""" " "   """""""" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " " " "A"8B+"]"" " "   """""""" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " " " "A"8B+"]"" " "   """""""" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " " " "A"8B+"]"" " "   """""""" "" " " "e "3"""" " "   """""""" "" "j " " " """" " "   """""""" "" " " " "A"8B+"]"" " "   """""""" "" " "1 " "S"Hd""" " "   """" """"" " "1 " ";"2""" " "   """" """"" " "1 " ";"2""" " "   """" """"" " "1 "L ";"2""" " "   """" """"" "M "1 "~ ";"2""" " "   """" """"" " "1 " ";"2""" " "   """" """"" " "1 " ";"2""" " "   """" """"" " "1 " ";"2""" " "   """" """"" " "1 "I ";"2""" " "   """" """"" "J "1 "{ ";"2""" " "   """" """"" "| "1 " ";"2""" " "   """" """"" " "1 " "B""2""" " "   """" """""2 " "R " "B""zK""" " "   """" """""2 " "R " ";"zK""" " "   """" """""2 " "R " ";"zK""" " "   """" """""2 " "R "L ";"zK""" " "   """" """""2 "M "R "~ ";"zK""" " "   """" """""2 " "R " ";"zK""" " "   """" """""2 " "R " ";"zK""" " "   """" """""2 " "R " ";"zK""" " "   """" """""2 " "R "I ";"zK""" " "   """" """""2 "J "R "{ ";"zK""" " "   """" """""2 "| "R " ";"zK""" " "   """" """""2 " "R " "B""zK""" " "   """" """""S " "r " "B""zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r "L ";"zK""" " "   """" """""S "M "r "~ ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r " ";"zK""" " "   """" """""S " "r "I ";"zK""" " "   """" """""S "J "r "{ ";"zK""" " "   """" """""S "| "r " ";"zK""" " "   """" """""S " "r " "B""zK""" " "   """" """""s " " " "B""zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " "L ";"zK""" " "   """" """""s "M " "~ ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" """""s " " " ";"zK""" " "   """" 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